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Entropy Bounds and Isoperimetry

Available Formats:
Electronic ISBN: 978-1-4704-0430-7
Product Code: MEMO/176/829.E
List Price: $62.00
MAA Member Price: $55.80
AMS Member Price: $37.20

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Entropy Bounds and Isoperimetry
Available Formats:
Electronic ISBN: | 978-1-4704-0430-7 |
Product Code: | MEMO/176/829.E |
List Price: | $62.00 |
MAA Member Price: | $55.80 |
AMS Member Price: | $37.20 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 176; 2005; 69 ppMSC: Primary 46; Secondary 51; 52;
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Table of Contents
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Chapters
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1. Introduction and notations
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2. Poincaré-type inequalities
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3. Entropy and Orlicz spaces
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4. $\mathrm {LS}_q$ and Hardy-type inequalities on the line
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5. Probability measures satisfying $\mathrm {LS}_q$-inequalities on the real line
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6. Exponential integrability and perturbation of measures
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7. $\mathrm {LS}_q$-inequalities for Gibbs measures with super Gaussian tails
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8. $\mathrm {LS}_q$-inequalities and Markov semigroups
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9. Isoperimetry
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10. The localization argument
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11. Infinitesimal version
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12. Proof of Theorem 9.2
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13. Euclidean distance (proof of Theorem 9.1)
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14. Uniformly convex bodies
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15. From isoperimetry to $\mathrm {LS}_q$-inequalities
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16. Isoperimetric functional inequalities
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- Book Details
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Volume: 176; 2005; 69 pp
MSC: Primary 46; Secondary 51; 52;
-
Chapters
-
1. Introduction and notations
-
2. Poincaré-type inequalities
-
3. Entropy and Orlicz spaces
-
4. $\mathrm {LS}_q$ and Hardy-type inequalities on the line
-
5. Probability measures satisfying $\mathrm {LS}_q$-inequalities on the real line
-
6. Exponential integrability and perturbation of measures
-
7. $\mathrm {LS}_q$-inequalities for Gibbs measures with super Gaussian tails
-
8. $\mathrm {LS}_q$-inequalities and Markov semigroups
-
9. Isoperimetry
-
10. The localization argument
-
11. Infinitesimal version
-
12. Proof of Theorem 9.2
-
13. Euclidean distance (proof of Theorem 9.1)
-
14. Uniformly convex bodies
-
15. From isoperimetry to $\mathrm {LS}_q$-inequalities
-
16. Isoperimetric functional inequalities
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